A Stabilizer Free Weak Galerkin Method for the Biharmonic Equation on Polytopal Meshes
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Publication:5123996
DOI10.1137/19M1276601zbMath1452.65362arXiv1907.09413OpenAlexW3087341606MaRDI QIDQ5123996
Publication date: 17 September 2020
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.09413
Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Variational methods for higher-order elliptic equations (35J35)
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Cites Work
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- A weak Galerkin mixed finite element method for second order elliptic problems
- On the boundary value problem of the biharmonic operator on domains with angular corners
- Development of a P2 element with optimal L2 convergence for biharmonic equation
- Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
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